Finding the Fourth Proportional to 9,829.69, 13,564.54 and 5,353.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.69 : 13,564.54 = 5,353.47 : x
2. Step 2: Convert to fraction form
   9,829.69/13,564.54 = 5,353.47/x
3. Step 3: Cross multiply
   9,829.69x = 13,564.54 × 5,353.47
4. Step 4: Simplify right side
   9,829.69x = 72,617,357.95
5. Step 5: Solve for x
   x = 72,617,357.95/9,829.69
6. Step 6: Final answer
   x = 7,387.55